Prime p₀= 1249296602023519727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: xii5ku
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1249295941727002021	0 30 48 76 88 100 118 136 150 168 186 198 210 238 256 286	-660296517706
STPT(10)	1249296007058178197	0 2 24 26 42 44 60 62 84 86	-594965341530
STPT(12)	1249296007133493659	0 2 42 44 60 62 72 74 90 92 132 134	-594890026068
SPT(16)	1249296149924946491	0 2 8 20 30 78 98 176 222 300 320 368 378 390 396 398	-452098573236
SPT(16)	1249296199735190423	0 6 116 174 224 246 290 300 320 330 374 396 446 504 614 620	-402288329304
SPT(16)	1249296487544168737	0 46 72 112 114 126 136 142 144 150 160 172 174 214 240 286	-114479350990
STPT(10)	1249297170435892607	0 2 12 14 42 44 72 74 84 86	568412372880
STPT(10)	1249297531410477077	0 2 60 62 72 74 84 86 144 146	929386957350
STPT(10)	1249297704855304859	0 2 18 20 30 32 42 44 60 62	1102831785132
SPT(16)	1249297869925853161	0 10 40 60 82 88 96 112 126 142 150 156 178 198 228 238	1267902333434
STPT(10)	1249298223771368777	0 2 30 32 42 44 54 56 84 86	1621747849050